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Finding the Fourth Proportional to 9,797.88, 13,523.20 and 6,024.27

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Solution

The fourth proportional to 9,797.88, 13,523.20 and 6,024.27 is: 8,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.88 : 13,523.20 = 6,024.27 : x
  2. Step 2: Convert to fraction form
    9,797.88/13,523.20 = 6,024.27/x
  3. Step 3: Cross multiply
    9,797.88x = 13,523.20 × 6,024.27
  4. Step 4: Simplify right side
    9,797.88x = 81,467,377.94
  5. Step 5: Solve for x
    x = 81,467,377.94/9,797.88
  6. Step 6: Final answer
    x = 8,314.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.